Rayleigh random flights on the Poisson line SIRSN

DOI10.1214/20-EJP526zbMath1469.60058arXiv1908.08481MaRDI QIDQ2024508

Wilfrid S. Kendall

Publication date: 4 May 2021

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.08481

zbMATH Keywords

Dirichlet formsergodic theoremPoisson line processrandom walk in a random environmentCrofton cellfibre processabstract scattering representationdelineated scattering processdynamical detailed balanceenvironment viewed from particleKesten-Spitzer-Whitman range theoremMecke-Slivnyak theoremMetropolis-Hastings acceptance rationeighbourhood recurrencePalm conditioningRayleigh random flightscale-invariant random spatial network

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Sums of independent random variables; random walks (60G50) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Processes in random environments (60K37)

Cites Work

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• The Zig-Zag Process and Super-Efficient Sampling for Bayesian Analysis of Big Data
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• Liouville Brownian motion
• Diffusion in planar Liouville quantum gravity
• From random lines to metric spaces
• Rigidity for Markovian maximal couplings of elliptic diffusions
• Scale-invariant random spatial networks
• Stationary countable dense random sets
• The distributions of the smallest disks containing the Poisson-Voronoi typical cell and the Crofton cell in the plane
• True scale-invariant random spatial networks
• Probability
• Statistical models based on counting processes

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